CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Out of n students, a committee of 12 students is formed. If number of such committees containing 2 particular students A,B is 3 times the number of committees containing another 3 particular students D,E,F, then n is

A
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
38
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
72
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 32
Out of n students, A,B are always included.
Other 10 students from (n2) students can be selected in n2C10 ways.

Similarly, the other committee can be formed in n3C9 ways.
Given that n2C10=3×n3C9
(n2)!(n12)! 10!=3×(n3)!(n12)! 9!
n210=3
n=32

flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image